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Bayesian integrative analysis for multi-fidelity computer experiments 期刊论文
JOURNAL OF APPLIED STATISTICS, 2019, 卷号: 46, 期号: 11, 页码: 1973-1987
Authors:  Wei, Yunfei;  Xiong, Shifeng
Favorite  |  View/Download:8/0  |  Submit date:2020/01/10
Correlated priors  Gaussian process  Kriging  penalization  uncertainty quantification  
Data-driven polynomial chaos expansions: A weighted least-square approximation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 381, 页码: 129-145
Authors:  Guo, Ling;  Liu, Yongle;  Zhou, Tao
Favorite  |  View/Download:9/0  |  Submit date:2019/03/11
Uncertainty quantification  Data-driven polynomial chaos expansions  Weighted least-squares  Equilibrium measure  
NUMERICAL APPROXIMATION OF ELLIPTIC PROBLEMS WITH LOG-NORMAL RANDOM COEFFICIENTS 期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 2, 页码: 161-186
Authors:  Wan, Xiaoliang;  Yu, Haijun
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Wiener chaos expansion  Wick product  stochastic elliptic PDE  uncertainty quantification  log-normal random coefficient  
SENSITIVITY ANALYSIS USING PERMUTATIONS 期刊论文
STATISTICA SINICA, 2018, 卷号: 28, 期号: 2, 页码: 817-837
Authors:  Xiong, Shifeng;  He, Xu;  He, Yuanzhen;  Mu, Weiyan
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Kriging  permutation test  significance  Sobol' index  uncertainty quantification  
WEIGHTED APPROXIMATE FEKETE POINTS: SAMPLING FOR LEAST-SQUARES POLYNOMIAL APPROXIMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 1, 页码: A366-A387
Authors:  Guo, Ling;  Narayan, Akil;  Yan, Liang;  Zhou, Tao
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uncertainty quantification  least-squares approximations  Fekete points  QR decomposition  
A GENERALIZED SAMPLING AND PRECONDITIONING SCHEME FOR SPARSE APPROXIMATION OF POLYNOMIAL CHAOS EXPANSIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 3, 页码: A1114-A1144
Authors:  Jakeman, John D.;  Narayan, Akil;  Zhou, Tao
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
uncertainty quantification  polynomial chaos  compressed sensing  
A CENTRAL LIMIT THEOREM FOR NESTED OR SLICED LATIN HYPERCUBE DESIGNS 期刊论文
STATISTICA SINICA, 2016, 卷号: 26, 期号: 3, 页码: 1117-1128
Authors:  He, Xu;  Qian, Peter Z. G.
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Computer experiment  design of experiment  method of moments  numerical integration  uncertainty quantification  
A Theoretical Framework for Calibration in Computer Models: Parametrization, Estimation and Convergence Properties 期刊论文
SIAM-ASA JOURNAL ON UNCERTAINTY QUANTIFICATION, 2016, 卷号: 4, 期号: 1, 页码: 767-795
Authors:  Tuo, Rui;  Wu, C. F. Jeff
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computer experiments  uncertainty quantification  Gaussian process  reproducing kernel Hilbert space  
A multilevel finite element method for Fredholm integral eigenvalue problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 303, 页码: 173-184
Authors:  Xie, Hehu;  Zhou, Tao
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Uncertainty quantification  Karhunen-Loeve expansion  Fredholm eigenvalue problem  Multigrid finite element  
EFFICIENT CALIBRATION FOR IMPERFECT COMPUTER MODELS 期刊论文
ANNALS OF STATISTICS, 2015, 卷号: 43, 期号: 6, 页码: 2331-2352
Authors:  Tuo, Rui;  Wu, C. F. Jeff
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
Computer experiments  uncertainty quantification  semiparametric efficiency  reproducing kernel Hilbert space